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GCD of 450, 890, 375, 385 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 450, 890, 375, 385 quickly. Get the easiest ways to solve the greatest common divisor of 450, 890, 375, 385 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 450, 890, 375, 385 with Factoring?

Given Input numbers are 450, 890, 375, 385

In the factoring method, we have to find the divisors of all numbers

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385


GCD of numbers is the greatest common divisor

So, the GCD (450, 890, 375, 385) = 5.

Find GCD of 450, 890, 375, 385 using Prime Factorization

Given numbers are 450, 890, 375, 385

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 890 are 2 x 5 x 89

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 385 are 5 x 7 x 11

The highest common occurrence is 51

Therefore, GCD of 450, 890, 375, 385 is 5.

Steps to Calculate GCD of 450, 890, 375, 385 using LCM Formula

Given numbers are 450, 890, 375, 385

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(450, 890) = 40050

GCD(450, 890) = ( 450 x 890 ) / 40050

= 450 / 890

= 450


Step2:

LCM(10, 375) = 750

GCD(10, 375) = ( 10 x 375 ) / 750

= 10 / 375

= 10


Step3:

LCM(5, 385) = 385

GCD(5, 385) = ( 5 x 385 ) / 385

= 5 / 385

= 5


So, Greatest Common Divisor of 450, 890, 375, 385 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 450, 890, 375, 385

Given numbers are 450, 890, 375, 385
The greatest common divisor of numbers 450, 890, 375, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 890, 375, 385 is 5.

FAQs on GCD of 450, 890, 375, 385 Calculator

1. What is the GCD of 450, 890, 375, 385?

GCD of given numbers 450, 890, 375, 385 is 5


2. How to calculate the greatest common divisor of 450, 890, 375, 385?

We can find the highest common divisor of 450, 890, 375, 385 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 450, 890, 375, 385 i.e 5.


3. How can I use the GCD of 450, 890, 375, 385Calculator?

Out the numbers 450, 890, 375, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.